Finite Group Databasebeta

← C3×#71715 #11792397

Subgroups — C3×#71715 #11792397

Order 1152.

953 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#525C211yesmaximal, characteristic, complemented
2C3×#5822C211yesmaximal, characteristic, complemented
3C3×#5791C211yesmaximal, characteristic, complemented
4C3×#5236C211yesmaximal, characteristic, complemented
5C3×#5207C211yesmaximal, characteristic, complemented
6C3×#5005C211yesmaximal, characteristic, complemented
7C3×#4531C211yesmaximal, characteristic, complemented
8C3×#2010—31nomaximal
9#71715C311yesmaximal, characteristic, direct product factor
10C2×C32×#41C2211yescharacteristic
11C23×C32×C4C2211yescharacteristic
12C2×C3×#235C2211yescharacteristic
13C32×#123—21no—
14C32×C22⋊Q8—21no—
15C32×#121—21no—
16C32×#120—21no—
17C32×C4×D4—22no—
18C32×#117C2211yescharacteristic
19C3×#953—21no—
20C3×#951—21no—
21C3×#950—22no—
22C3×#949—21no—
23C3×#942—21no—
24C3×#932—21no—
25C3×#930—21no—
26C3×#929—21no—
27C3×C4×#67—22no—
28C3×#926C2211yescharacteristic
29C3×#924—21no—
30C2×C3×#208C2211yescharacteristic
31C2×C3×#208C2211yescharacteristic
32C3×#837—22no—
33C3×#830—22no—
34C3×#805—22no—
35C3×#575—31no—
36C3×#525—21no—
37C3×#525—31no—
38C3×#525D311yescharacteristic, complemented
39C3×#525C2×C311yescharacteristic, complemented
40#5822C2×C311yescharacteristic, complemented
41#5791C2×C311yescharacteristic, complemented
42C3×#421—31no—
43C3×#421—31no—
44C3×#407—31no—
45#5236C2×C311yescharacteristic, complemented
46#5207C2×C311yescharacteristic, complemented
47#5005C2×C311yescharacteristic, complemented
48C3×H(3,ℤ/4)—31no—
49#4531C2×C311yescharacteristic, complemented
50C24×C32D411yescharacteristic
51C32×#41—21no—
52C32×#41—21no—
53C32×#41—21no—
54C32×#41—21no—
55C2×C32×Q8D411yescharacteristic, complemented
56C2×C32×D4—22no—
57C2×C32×D4—21no—
58C2×C32×D4D411yescharacteristic, complemented
59C22×C32×C4—21no—
60C22×C32×C4—21no—
61C22×C32×C4—21no—
62C22×C32×C4—21no—
63C22×C32×C4—21no—
64C22×C32×C4—21no—
65C22×C32×C4—21no—
66C22×C32×C4D411yescharacteristic
67C22×C32×C4C2311yescharacteristic
68C2×C3×#67—22no—
69C2×C3×#67—21no—
70C3×#235—21no—
71C3×#235—21no—
72C3×#235—21no—
73C3×#235—21no—
74C2×C3×D12D411yescharacteristic, complemented
75C2×C3×C4×D3—21no—
76C2×C3×Dic6D411yescharacteristic, complemented
77C32×C4⋊C4—22no—
78C32×C4⋊C4—21no—
79C32×C22⋊C4—22no—
80C32×C22⋊C4—22no—
81C32×C22⋊C4—21no—
82C32×C42D412yescomplemented
83C3×#217—22no—
84C3×#217—21no—
85C3×#216—22no—
86C3×#215—22no—
87C3×#214—22no—
88C3×#213—22no—
89C3×(C2×D3)⋊C4—22no—
90C3×C4⋊Dic3—21no—
91C3×Dic3⋊C4—22no—
92C3×C4×Dic3D412yescomplemented
93C3×#208—21no—
94C3×#208—21no—
95C3×#208—21no—
96C3×#208—21no—
97C2×C3×C3⋊C8—21no—
98C2×C3×C3⋊C8D412yescomplemented
99#2010—31noSylow
100C2×C3×#41—21no—
101C2×C3×#41—31no—
102C2×C3×#41C2×D311yescharacteristic
103C2×C3×#41C22×C311yescharacteristic
104C23×C3×C4—21no—
105C23×C3×C4C2×D311yescharacteristic
106C23×C3×C4C22×C311yescharacteristic
107C2×#235C22×C311yescharacteristic
108C3×#137—61no—
109C3×#137—61no—
110C3×AGL(1,ℤ/8)—61no—
111C3×AGL(1,ℤ/8)—61no—
112C3×#135—62no—
113C2×C3×M16—31no—
114C2×C3×M16—31no—
115C3×#123—22no—
116C3×#123—21no—
117C3×#123—21no—
118C3×#123—61no—
119C3×C22⋊Q8—22no—
120C3×C22⋊Q8—21no—
121C3×C22⋊Q8—21no—
122C3×C22⋊Q8—61no—
123C3×#121—22no—
124C3×#121—21no—
125C3×#121—21no—
126C3×#121—61no—
127C3×#120—22no—
128C3×#120—21no—
129C3×#120—21no—
130C3×#120—61no—
131C3×C4×D4—24no—
132C3×C4×D4—22no—
133C3×C4×D4—22no—
134C3×C4×D4—62no—
135C3×#117—21no—
136C3×#117—31no—
137C3×#117C2×D311yescharacteristic
138C3×#117C22×C311yescharacteristic
139#953—21no—
140#951—21no—
141#950—22no—
142#949—21no—
143#942—21no—
144#932—21no—
145#930—21no—
146#929—21no—
147C4×#67—22no—
148#926C22×C311yescharacteristic
149#924—21no—
150C2×#208C22×C311yescharacteristic
151C2×#208C22×C311yescharacteristic
152C3×#104—62no—
153C3×#104—62no—
154C3×C22⋊C8—62no—
155#837—22no—
156#830—22no—
157#805—22no—
158C23×C32—21no—
159C23×C32—21no—
160C23×C32—21no—
161C23×C32—21no—
162C23×C32—42no—
163C23×C32C2×D411yescharacteristic
164C22×C3×D3—21no—
165C32×Q8—21no—
166C32×Q8—21no—
167C32×D4—21no—
168C32×D4—21no—
169C32×D4—44no—
170C32×D4—41no—
171C32×D4—41no—
172C2×C32×C4—22no—
173C2×C32×C4—21no—
174C2×C32×C4—21no—
175C2×C32×C4—21no—
176C2×C32×C4—21no—
177C2×C32×C4—41no—
178C2×C32×C4—41no—
179C2×C32×C4—41no—
180C2×C32×C4—41no—
181C2×C32×C4—41no—
182C2×C32×C4—41no—
183C2×C32×C4C2×D411yescharacteristic
184C2×C32×C4C2×D411yescharacteristic
185C2×C32×C4C2×D411yescharacteristic
186C2×C32×C4C2×D411yescharacteristic
187C2×C32×C4C2×D411yescharacteristic
188C2×C32×C4#4111yescharacteristic
189C3×#67—44no—
190C3×#67—41no—
191C3×#67—41no—
192C2×C3×Dic3—22no—
193C2×C3×Dic3—21no—
194C3×D12—21no—
195C3×D12—21no—
196C3×C4×D3—41no—
197C3×C4×D3—41no—
198C3×Dic6—21no—
199C3×Dic6—21no—
200C3×C3⋊C8—22no—
201C3×C3⋊C8—41no—
202#575—31no—
203#525—31no—
204#525C3×D311yescharacteristic, complemented
205#421—31no—
206#421—31no—
207#407—31no—
208H(3,ℤ/4)—31no—
209C24×C3—21no—
210C24×C3#6711yescharacteristic
211C24×C3C3×D411yescharacteristic
212C3×#41—21no—
213C3×#41—21no—
214C3×#41—21no—
215C3×#41—21no—
216C3×#41—21no—
217C3×#41—21no—
218C3×#41—21no—
219C3×#41—21no—
220C3×#41—41no—
221C3×#41—41no—
222C3×#41—41no—
223C3×#41—41no—
224C3×#41—61no—
225C3×#41—61no—
226C3×#41—61no—
227C3×#41—61no—
228C2×C3×Q8—21no—
229C2×C3×Q8—31no—
230C2×C3×Q8#6711yescharacteristic, complemented
231C2×C3×Q8C3×D411yescharacteristic, complemented
232C2×C3×D4—24no—
233C2×C3×D4—22no—
234C2×C3×D4—22no—
235C2×C3×D4—22no—
236C2×C3×D4—21no—
237C2×C3×D4—21no—
238C2×C3×D4—21no—
239C2×C3×D4—31no—
240C2×C3×D4—62no—
241C2×C3×D4—61no—
242C2×C3×D4#6711yescharacteristic, complemented
243C2×C3×D4C3×D411yescharacteristic, complemented
244C22×C3×C4—22no—
245C22×C3×C4—22no—
246C22×C3×C4—22no—
247C22×C3×C4—21no—
248C22×C3×C4—21no—
249C22×C3×C4—21no—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C22×C3×C4—21no—
255C22×C3×C4—21no—
256C22×C3×C4—21no—
257C22×C3×C4—21no—
258C22×C3×C4—21no—
259C22×C3×C4—21no—
260C22×C3×C4—21no—
261C22×C3×C4—21no—
262C22×C3×C4—21no—
263C22×C3×C4—41no—
264C22×C3×C4—41no—
265C22×C3×C4—41no—
266C22×C3×C4—41no—
267C22×C3×C4—61no—
268C22×C3×C4#6711yescharacteristic
269C22×C3×C4C3×D411yescharacteristic
270C22×C3×C4C22×D311yescharacteristic
271C22×C3×C4C23×C311yescharacteristic
272C2×#67—22no—
273C2×#67—21no—
274#235—21no—
275#235—21no—
276#235—21no—
277#235—21no—
278C2×D12C3×D411yescharacteristic, complemented
279C2×C4×D3—21no—
280C2×Dic6C3×D411yescharacteristic, complemented
281C3×Q16—62no—
282C3×SD16—62no—
283C3×SD16—62no—
284C3×D8—62no—
285C3×M16—61no—
286C3×M16—61no—
287C3×M16—61no—
288C3×M16—61no—
289C2×C3×C8—32no—
290C2×C3×C8—61no—
291C3×C4⋊C4—22no—
292C3×C4⋊C4—24no—
293C3×C4⋊C4—22no—
294C3×C4⋊C4—22no—
295C3×C4⋊C4—21no—
296C3×C4⋊C4—21no—
297C3×C4⋊C4—62no—
298C3×C4⋊C4—61no—
299C3×C22⋊C4—22no—
300C3×C22⋊C4—24no—
301C3×C22⋊C4—22no—
302C3×C22⋊C4—22no—
303C3×C22⋊C4—24no—
304C3×C22⋊C4—22no—
305C3×C22⋊C4—22no—
306C3×C22⋊C4—21no—
307C3×C22⋊C4—21no—
308C3×C22⋊C4—62no—
309C3×C22⋊C4—62no—
310C3×C22⋊C4—61no—
311C3×C42—22no—
312C3×C42—32no—
313C3×C42#6712yescomplemented
314C3×C42C3×D412yescomplemented
315#217—22no—
316#217—21no—
317#216—22no—
318#215—22no—
319#214—22no—
320#213—22no—
321(C2×D3)⋊C4—22no—
322C4⋊Dic3—21no—
323Dic3⋊C4—22no—
324C4×Dic3C3×D412yescomplemented
325#208—21no—
326#208—21no—
327#208—21no—
328#208—21no—
329C2×C3⋊C8—21no—
330C2×C3⋊C8C3×D412yescomplemented
331C22×C32—22no—
332C22×C32—22no—
333C22×C32—22no—
334C22×C32—41no—
335C22×C32—41no—
336C22×C32—41no—
337C22×C32—41no—
338C22×C32—42no—
339C22×C32—41no—
340C22×C32—41no—
341C22×C32#12011yescharacteristic
342C22×C32#12011yescharacteristic
343C22×C32#12111yescharacteristic
344C2×C3×D3—42no—
345C2×C3×D3—41no—
346C32×C4—42no—
347C32×C4—41no—
348C32×C4—41no—
349C32×C4#12011yescharacteristic
350C32×C4#12111yescharacteristic
351C32×C4#12111yescharacteristic
352C32×C4#12711yescharacteristic
353C3×Dic3—42no—
354C3×Dic3—41no—
355C2×#41—31no—
356C2×#41C2×C3×D311yescharacteristic
357C23×C4C2×C3×D311yescharacteristic
358#137—61no—
359#137—61no—
360AGL(1,ℤ/8)—61no—
361AGL(1,ℤ/8)—61no—
362#135—62no—
363C2×M16—31no—
364C2×M16—31no—
365#123—21no—
366#123—61no—
367C22⋊Q8—21no—
368C22⋊Q8—61no—
369#121—21no—
370#121—61no—
371#120—21no—
372#120—61no—
373C4×D4—22no—
374C4×D4—62no—
375#117—31no—
376#117C2×C3×D311yescharacteristic
377#104—62no—
378#104—62no—
379C22⋊C8—62no—
380C23×C3—22no—
381C23×C3—21no—
382C23×C3—21no—
383C23×C3—21no—
384C23×C3—21no—
385C23×C3—21no—
386C23×C3—21no—
387C23×C3—22no—
388C23×C3—21no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3—41no—
392C23×C3—41no—
393C23×C3—42no—
394C23×C3—42no—
395C23×C3—44no—
396C23×C3—61no—
397C23×C3C2×#6711yescharacteristic
398C23×C3C2×C3×D411yescharacteristic
399C22×D3—21no—
400C3×Q8—21no—
401C3×Q8—21no—
402C3×Q8—21no—
403C3×Q8—21no—
404C3×Q8—41no—
405C3×Q8—41no—
406C3×Q8—61no—
407C3×Q8—61no—
408C3×D4—21no—
409C3×D4—21no—
410C3×D4—21no—
411C3×D4—21no—
412C3×D4—41no—
413C3×D4—41no—
414C3×D4—48no—
415C3×D4—44no—
416C3×D4—44no—
417C3×D4—42no—
418C3×D4—42no—
419C3×D4—41no—
420C3×D4—41no—
421C3×D4—41no—
422C3×D4—41no—
423C3×D4—61no—
424C3×D4—61no—
425C3×D4—124no—
426C3×D4—121no—
427C3×D4—121no—
428C2×C3×C4—24no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—21no—
432C2×C3×C4—21no—
433C2×C3×C4—22no—
434C2×C3×C4—21no—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—22no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—21no—
442C2×C3×C4—21no—
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—21no—
446C2×C3×C4—21no—
447C2×C3×C4—41no—
448C2×C3×C4—41no—
449C2×C3×C4—42no—
450C2×C3×C4—42no—
451C2×C3×C4—42no—
452C2×C3×C4—42no—
453C2×C3×C4—42no—
454C2×C3×C4—42no—
455C2×C3×C4—41no—
456C2×C3×C4—41no—
457C2×C3×C4—41no—
458C2×C3×C4—41no—
459C2×C3×C4—41no—
460C2×C3×C4—41no—
461C2×C3×C4—41no—
462C2×C3×C4—41no—
463C2×C3×C4—41no—
464C2×C3×C4—41no—
465C2×C3×C4—41no—
466C2×C3×C4—41no—
467C2×C3×C4—62no—
468C2×C3×C4—61no—
469C2×C3×C4—121no—
470C2×C3×C4—121no—
471C2×C3×C4D3×D411yescharacteristic
472C2×C3×C4D3×D411yescharacteristic
473C2×C3×C4D3×D411yescharacteristic
474C2×C3×C4#23711yescharacteristic
475C2×C3×C4C2×#6711yescharacteristic
476C2×C3×C4C2×#6711yescharacteristic
477C2×C3×C4C2×C3×D411yescharacteristic
478C2×C3×C4C2×C3×D411yescharacteristic
479C2×C3×C4C2×C3×D411yescharacteristic
480C2×C3×C4C2×C3×D411yescharacteristic
481C2×C3×C4C2×C3×D411yescharacteristic
482C2×C3×C4C3×#4111yescharacteristic
483#67—44no—
484#67—41no—
485#67—41no—
486C2×Dic3—22no—
487C2×Dic3—21no—
488D12—21no—
489D12—21no—
490C4×D3—41no—
491C4×D3—41no—
492Dic6—21no—
493Dic6—21no—
494C3×C8—62no—
495C3×C8—121no—
496C3⋊C8—22no—
497C3⋊C8—41no—
498C2×C32—21no—
499C2×C32—21no—
500C2×C32—21no—
501C2×C32—42no—
502C2×C32—81no—
503C2×C32#39211yescharacteristic
504C3×D3—81no—
505C24C3×#6711yescharacteristic
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510#41—61no—
511#41—61no—
512#41—61no—
513#41—61no—
514C2×Q8—31no—
515C2×Q8C3×#6711yescharacteristic, complemented
516C2×D4—22no—
517C2×D4—21no—
518C2×D4—31no—
519C2×D4—62no—
520C2×D4—61no—
521C2×D4C3×#6711yescharacteristic, complemented
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—61no—
530C22×C4C3×#6711yescharacteristic
531C22×C4C22×C3×D311yescharacteristic
532Q16—62no—
533SD16—62no—
534SD16—62no—
535D8—62no—
536M16—61no—
537M16—61no—
538M16—61no—
539M16—61no—
540C2×C8—32no—
541C2×C8—61no—
542C4⋊C4—22no—
543C4⋊C4—21no—
544C4⋊C4—62no—
545C4⋊C4—61no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—21no—
549C22⋊C4—62no—
550C22⋊C4—62no—
551C22⋊C4—61no—
552C42—32no—
553C42C3×#6712yescomplemented
554C22×C3—22no—
555C22×C3—24no—
556C22×C3—22no—
557C22×C3—22no—
558C22×C3—22no—
559C22×C3—22no—
560C22×C3—22no—
561C22×C3—21no—
562C22×C3—21no—
563C22×C3—21no—
564C22×C3—42no—
565C22×C3—42no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3—42no—
569C22×C3—42no—
570C22×C3—42no—
571C22×C3—41no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—41no—
575C22×C3—41no—
576C22×C3—41no—
577C22×C3—42no—
578C22×C3—44no—
579C22×C3—42no—
580C22×C3—42no—
581C22×C3—42no—
582C22×C3—42no—
583C22×C3—41no—
584C22×C3—41no—
585C22×C3—41no—
586C22×C3—41no—
587C22×C3—122no—
588C22×C3—121no—
589C22×C3#93711yescharacteristic
590C22×C3#93911yescharacteristic
591C22×C3#95311yescharacteristic
592C22×C3C3×#12011yescharacteristic
593C22×C3C3×#12011yescharacteristic
594C22×C3C3×#12111yescharacteristic
595C2×D3—42no—
596C2×D3—41no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—21no—
601C3×C4—42no—
602C3×C4—42no—
603C3×C4—44no—
604C3×C4—42no—
605C3×C4—42no—
606C3×C4—41no—
607C3×C4—41no—
608C3×C4—41no—
609C3×C4—41no—
610C3×C4—122no—
611C3×C4—121no—
612C3×C4#93711yescharacteristic
613C3×C4#93811yescharacteristic
614C3×C4#93911yescharacteristic
615C3×C4#94011yescharacteristic
616C3×C4C3×#12011yescharacteristic
617C3×C4C3×#12111yescharacteristic
618C3×C4C3×#12111yescharacteristic
619C3×C4C3×#12711yescharacteristic
620Dic3—42no—
621Dic3—41no—
622C32#201011yescharacteristic, complemented, Sylow
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—42no—
628C23—61no—
629C23C2×C3×#6711yescharacteristic
630Q8—21no—
631Q8—21no—
632Q8—61no—
633Q8—61no—
634D4—21no—
635D4—21no—
636D4—44no—
637D4—41no—
638D4—41no—
639D4—61no—
640D4—61no—
641D4—124no—
642D4—121no—
643D4—121no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—62no—
656C2×C4—61no—
657C2×C4—121no—
658C2×C4—121no—
659C2×C4C3×D3×D411yescharacteristic
660C2×C4C3×D3×D411yescharacteristic
661C2×C4C3×D3×D411yescharacteristic
662C2×C4C3×#23711yescharacteristic
663C2×C4C2×C3×#6711yescharacteristic
664C2×C4C2×C3×#6711yescharacteristic
665C8—62no—
666C8—121no—
667C2×C3—22no—
668C2×C3—21no—
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—21no—
673C2×C3—21no—
674C2×C3—21no—
675C2×C3—41no—
676C2×C3—41no—
677C2×C3—44no—
678C2×C3—42no—
679C2×C3—42no—
680C2×C3—82no—
681C2×C3—81no—
682C2×C3—81no—
683C2×C3—241no—
684C2×C3#522311yescharacteristic
685C2×C3C3×#39211yescharacteristic
686D3—81no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—41no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—42no—
695C22—41no—
696C22—41no—
697C22—122no—
698C22—121no—
699C22C3×#93711yescharacteristic
700C22C3×#93911yescharacteristic
701C22C3×#95311yescharacteristic
702C4—42no—
703C4—41no—
704C4—41no—
705C4—122no—
706C4—121no—
707C4C3×#93711yescharacteristic
708C4C3×#93811yescharacteristic
709C4C3×#93911yescharacteristic
710C4C3×#94011yescharacteristic
711C3—21no—
712C3#7171511yescharacteristic, direct product factor
713C3C3×#201011yescharacteristic, complemented
714C2—21no—
715C2—21no—
716C2—21no—
717C2—42no—
718C2—81no—
719C2—241no—
720C2C3×#522311yescharacteristic
subgroupG/H
centerC3×C4#940
commutator, cosocleC22×C3×C4C23×C3
FrattiniC22×C4C22×C3×D3
FittingC32×#525C2
socleC2×C32#392
hypercenterC3×#525D3
hypocenterC3C3×#2010
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C3×C4 ◁ C22×C3×C4 ◁ C3×#525

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C32×#525C2semidirect
2. C3×#5822C2semidirect
3. C3×#5791C2semidirect
4. C3×#5236C2semidirect
5. C3×#5207C2semidirect
6. C3×#5005C2semidirect
7. C3×#4531C2semidirect
9. #71715C3direct (N × H)
38. C3×#525D3semidirect
39. C3×#525C2×C3semidirect
40. #5822C2×C3semidirect
41. #5791C2×C3semidirect
45. #5236C2×C3semidirect
46. #5207C2×C3semidirect
47. #5005C2×C3semidirect
49. #4531C2×C3semidirect
55. C2×C32×Q8D4semidirect
58. C2×C32×D4D4semidirect
74. C2×C3×D12D4semidirect
76. C2×C3×Dic6D4semidirect
82. C32×C42D4semidirect
92. C3×C4×Dic3D4semidirect
98. C2×C3×C3⋊C8D4semidirect
204. #525C3×D3semidirect
230. C2×C3×Q8#67semidirect
231. C2×C3×Q8C3×D4semidirect
242. C2×C3×D4#67semidirect
243. C2×C3×D4C3×D4semidirect
278. C2×D12C3×D4semidirect
280. C2×Dic6C3×D4semidirect
313. C3×C42#67semidirect
314. C3×C42C3×D4semidirect
324. C4×Dic3C3×D4semidirect
330. C2×C3⋊C8C3×D4semidirect
515. C2×Q8C3×#67semidirect
521. C2×D4C3×#67semidirect
553. C42C3×#67semidirect
622. C32#2010semidirect
712. C3#71715direct (N × H)
713. C3C3×#2010semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C32×#5252
C3×#58222
C3×#57912
C3×#52362
C3×#52072
C3×#50052
C3×#45312
C3×#20103
#717153